Modernizace vyučování matematice ve francouzských učebnicích
A motivating environment is an interconnected set of mathematical problems and situations stemming from real life and connected through some context (such as a story, a fairy tale, etc.). The mathematical problems are formulated in a challenging way. The goal of the environment is to develop pupils' skills to solve problems outside of school and enable them to acquire knowledge in a non-traditional motivating way. The article presents a story On a gardener and a princess which includes 7 mathematical...
Motivating environments in mathematics 2 is the second part of a series of articles on motivating ways of teaching mathematics at the primary school. Zhe article presents a story "Life on a farm in the Jizera mountains" which contains 6 mathematical problems connected with real life. These problems are interconnected by a story about a farmer called Joseph and his family. The problems practise operations with natural numbers. Tasks are aimed for elementary children in Grade 3.
Formatívne hodnotenie je prínosom pre žiacke učenie. Preto má zmysel uvažovať o jeho kvalite ako takej a o kvalite formatívneho hodnotenia, ktoré poskytuje konkrétny učiteľ. V článku predstavujeme rubriky na meranie kvality formatívneho hodnotenia a krátky výskum zameraný na možnosti rastu učiteľov v tejto oblasti pomocou spomínaných rubrík. Tento výskum a jeho závery by mohli podnietiť učiteľov k sebareflexii nad formatívnym hodnotením, ktoré poskytujú svojim žiakom.
Článek začíná poutavým příběhem z praxe, kde bylo učiteli doporučeno neříkat „jde k nekonečnu“, ale raději „roste nade všechny meze“. Dále autor uvádí úlohy, kdy je zajisté těžké smířit se s pojmem nekonečno, například těleso s konečným objemem a nekonečným povrchem nebo harmonická řada divergující k nekonečnu, ačkoliv její členy konvergují k nule.
Small group mathematics education (especially problem-based learning, project-based learning, cooperative learning, collaborative learning or inquire-based learning) involves a high degree of interaction. Within the small group education, learners work with their classmates to solve complex and authentic problems that help develop content knowledge as well as problem-solving, reasoning, communication, and self-assessment skills. The paper deals with such small group learning methods and their effect...
First, the contribution describes the most significant turning points of the gradual development of recognition in knot theory, then it provides examples of the use of classical knots in history, mentions some pictorial forms of motivation for the inclusion of knot theory in teaching mathematics, presents basic concepts of knot theory suitable for mathematics teaching in the lower years of 8-year secondary grammar school and offers a set of simple tasks in this interesting field of mathematics which...
The article concerns the use of GPS (Global Positioning System) in the teaching of mathematics. Some concrete mathematical tasks are given which can be solved with the help of GPS. They concern measuring distances, finding areas and understanding graphs of functions. Solutions are provided and complemented by pictures.
The article concerns the following problem: Given square with the side of 1. Find points so that the sum is the smallest possible. Four solutions are given which are examples of the connection between several mathematical disciplines (geometry, algebra and calculus). The article concludes with a note on the history of the presented problem (leading to P. Fermat and others).
lánek pojednává o speciálním případu iracionálních rovnic, jejichž jedno řešení lze "snadno uhodnout" a zabývá se otázkami existence a počtu dalších reálných řešení takových rovnic a problematikou jejich nalezení. To je ilustrováno několika konkrétními příklady, při jejichž rozboru jsou využívány různé postupy dostupné též středoškolským studentům.